On Aggregate Precautionary Saving: When is the Third Derivative Irrelevant?
AbstractWhen does idiosyncratic earnings uncertainty increase aggregate saving? We address this question in the context of a general equilibrium model where infinitely-lived agents receive idiosyncratic labor endowment shocks, hold a risk-free asset to smooth consumption and face a liquidity constraint. We prove that the steady-state capital stock is always larger in any equilibrium with idiosyncratic shocks and a liquidity constraint than without idiosyncratic shocks (i.e. there is aggregate precautionary saving) as long as utility functions are strictly concave. We also prove that aggregate precautionary saving occurs if and only if the liquidity constraint binds for some agents.
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Bibliographic InfoPaper provided by Centro de Investigacion Economica, ITAM in its series Working Papers with number 9802.
Length: 25 pages
Date of creation: Jan 1998
Date of revision:
Precautionary Saving; Idiosyncratic Shocks; Liquidity Constraints; Capital Theory;
Find related papers by JEL classification:
- E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
- E21 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
- D91 - Microeconomics - - Intertemporal Choice and Growth - - - Intertemporal Consumer Choice; Life Cycle Models and Saving
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